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Fraction Operations Lessons

Divide Mixed Numbers: Learn

Mixed numbers consist of an integer followed by a fraction. To Divide Mixed Numbers:

  • Convert each mixed number to an improper fraction.
  • Invert the divisor (take its reciprocal).
  • Multiply the two numerators together.
  • Multiply the two denominators together.
  • Convert the result back to a mixed number if it is an improper fraction.
  • Simplify the result.

Example: 6 2/8 ÷ 3 5/9

6
2
8
÷
3
5
9
=
50
8
÷
32
9
=
50
8
*
9
32
=
50 * 9
8 * 32
=
450
256
=
1
194
258
=
1
97
128

That last step can be tough, simplifying a fraction with big numbers. To keep the numbers small and easy to work with, you can cancel factors just before multiplying.

In the example above, that would mean canceling a factor of 2 out of both the 50 and the 32 just before multiplying.

Divide Mixed Numbers: Practice

Find the quotient.

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